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Finding the Fourth Proportional to 7,677.63, 11,516.31 and 2,483.51

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Solution

The fourth proportional to 7,677.63, 11,516.31 and 2,483.51 is: 3,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.63 : 11,516.31 = 2,483.51 : x
  2. Step 2: Convert to fraction form
    7,677.63/11,516.31 = 2,483.51/x
  3. Step 3: Cross multiply
    7,677.63x = 11,516.31 × 2,483.51
  4. Step 4: Simplify right side
    7,677.63x = 28,600,813.47
  5. Step 5: Solve for x
    x = 28,600,813.47/7,677.63
  6. Step 6: Final answer
    x = 3,725.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.